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Finding the Fourth Proportional to 106,925.64, 160,386.52 and 36,803.40

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Solution

The fourth proportional to 106,925.64, 160,386.52 and 36,803.40 is: 55,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,925.64 : 160,386.52 = 36,803.40 : x
  2. Step 2: Convert to fraction form
    106,925.64/160,386.52 = 36,803.40/x
  3. Step 3: Cross multiply
    106,925.64x = 160,386.52 × 36,803.40
  4. Step 4: Simplify right side
    106,925.64x = 5,902,769,250.17
  5. Step 5: Solve for x
    x = 5,902,769,250.17/106,925.64
  6. Step 6: Final answer
    x = 55,204.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.